%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC422+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:09:49 PM UTC 2026
% Result : Theorem 4.26s 6.31s
% Output : CNFRefutation 4.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 69 ( 24 unt; 9 def)
% Number of atoms : 375 ( 109 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 369 ( 150 ~; 131 |; 74 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 186 ( 0 sgn 153 !; 33 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(app(X9,cons(X7,nil)),X8) != X2
| app(app(X8,cons(X7,nil)),X9) != X3 ) ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(app(X9,cons(X7,nil)),X8) != X2
| app(app(X8,cons(X7,nil)),X9) != X3 ) ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& app(app(X9,cons(X7,nil)),X8) = X2
& app(app(X8,cons(X7,nil)),X9) = X3 ) ) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& app(app(X9,cons(X7,nil)),X8) = X2
& app(app(X8,cons(X7,nil)),X9) = X3 ) ) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f221]) ).
fof(f301,plain,
( ssList(sK57)
& ssList(sK58)
& ssList(sK59)
& ssList(sK60)
& ( ( ~ neq(sK60,nil)
& neq(sK58,nil) )
| sP6(sK58,sK57,sK60,sK59) )
& sK57 = sK59
& sK58 = sK60 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57,sK58,sK59,sK60]),skolemize(X0,sK57),skolemize(X1,sK58),skolemize(X2,sK59),skolemize(X3,sK60)],[f233]) ).
fof(f512,plain,
( ~ neq(sK60,nil)
| sP6(sK58,sK57,sK60,sK59) ),
inference(cnf_transformation,[],[f301]) ).
fof(f513,plain,
( neq(sK58,nil)
| sP6(sK58,sK57,sK60,sK59) ),
inference(cnf_transformation,[],[f301]) ).
fof(f514,plain,
sK57 = sK59,
inference(cnf_transformation,[],[f301]) ).
fof(f515,plain,
sK58 = sK60,
inference(cnf_transformation,[],[f301]) ).
fof(f516,plain,
( neq(sK60,nil)
| sP6(sK60,sK59,sK60,sK59) ),
inference(definition_unfolding,[],[f513,f515,f514,f515]) ).
fof(f517,plain,
( ~ neq(sK60,nil)
| sP6(sK60,sK59,sK60,sK59) ),
inference(definition_unfolding,[],[f512,f515,f514]) ).
tcf(c_253,negated_conjecture,
( neq(sK60,nil)
| sP6(sK60,sK59,sK60,sK59) ),
inference(cnf_transformation,[],[f516]) ).
tcf(c_254,negated_conjecture,
( sP6(sK60,sK59,sK60,sK59)
| ~ neq(sK60,nil) ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_378,negated_conjecture,
sP6(sK60,sK59,sK60,sK59),
inference(global_subsumption_just,[status(thm)],[c_253,c_253,c_254]) ).
tcf(c_380,negated_conjecture,
sP6(sK60,sK59,sK60,sK59),
inference(global_subsumption_just,[status(thm)],[c_254,c_378]) ).
tcf(c_8955,definition,
iPr_def_10 = sK55(sK60,sK59),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_8956,definition,
iPr_def_11 = sK54(sK60,sK59),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_8957,definition,
iPr_def_12 = cons(iPr_def_11,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_8958,definition,
iPr_def_13 = app(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_8959,definition,
iPr_def_14 = sK56(sK60,sK59),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_8960,definition,
iPr_def_15 = app(iPr_def_13,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_8961,definition,
iPr_def_16 = app(iPr_def_14,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_8962,definition,
iPr_def_17 = app(iPr_def_16,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
fof(f232,definition,
! [X1,X0,X3,X2] :
( ~ sP6(X1,X0,X3,X2)
| ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& app(app(X9,cons(X7,nil)),X8) = X2
& app(app(X8,cons(X7,nil)),X9) = X3 ) ) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f233,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP6(X1,X0,X3,X2) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(definition_folding,[],[f222,f232]) ).
fof(f298,plain,
! [X1,X0,X3,X2] :
( ~ sP6(X1,X0,X3,X2)
| ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& app(app(X9,cons(X7,nil)),X8) = X2
& app(app(X8,cons(X7,nil)),X9) = X3 ) ) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil) ) ),
inference(nnf_transformation,[],[f232]) ).
fof(f299,plain,
! [X0,X1,X2,X3] :
( ~ sP6(X0,X1,X2,X3)
| ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& app(app(X9,cons(X7,nil)),X8) = X3
& app(app(X8,cons(X7,nil)),X9) = X2 ) ) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X1
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X0,nil) ) ),
inference(rectify,[],[f298]) ).
fof(f300,plain,
! [X0,X1,X2,X3] :
( ~ sP6(X0,X1,X2,X3)
| ( ssItem(sK54(X2,X3))
& ssList(sK55(X2,X3))
& ssList(sK56(X2,X3))
& app(app(sK56(X2,X3),cons(sK54(X2,X3),nil)),sK55(X2,X3)) = X3
& app(app(sK55(X2,X3),cons(sK54(X2,X3),nil)),sK56(X2,X3)) = X2
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X1
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X0,nil) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54,sK55,sK56]),skolemize(X7,sK54(X2,X3)),skolemize(X8,sK55(X2,X3)),skolemize(X9,sK56(X2,X3))],[f299]) ).
fof(f501,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| ssItem(sK54(X2,X3)) ),
inference(cnf_transformation,[],[f300]) ).
fof(f502,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| ssList(sK55(X2,X3)) ),
inference(cnf_transformation,[],[f300]) ).
fof(f503,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| ssList(sK56(X2,X3)) ),
inference(cnf_transformation,[],[f300]) ).
fof(f504,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| app(app(sK56(X2,X3),cons(sK54(X2,X3),nil)),sK55(X2,X3)) = X3 ),
inference(cnf_transformation,[],[f300]) ).
fof(f505,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| app(app(sK55(X2,X3),cons(sK54(X2,X3),nil)),sK56(X2,X3)) = X2 ),
inference(cnf_transformation,[],[f300]) ).
fof(f506,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP6(X0,X1,X2,X3)
| app(app(X6,cons(X4,nil)),X5) != X1
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f300]) ).
fof(f547,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ sP6(app(app(X5,cons(X4,nil)),X6),X1,X2,X3)
| app(app(X6,cons(X4,nil)),X5) != X1
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(equality_resolution,[],[f506]) ).
fof(f548,plain,
! [X2,X3,X6,X4,X5] :
( ~ sP6(app(app(X5,cons(X4,nil)),X6),app(app(X6,cons(X4,nil)),X5),X2,X3)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(equality_resolution,[],[f547]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP6(app(app(X0,cons(X1,nil)),X2),app(app(X2,cons(X1,nil)),X0),X3,X4) ),
inference(cnf_transformation,[],[f548]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(sK55(X2,X3),cons(sK54(X2,X3),nil)),sK56(X2,X3)) = X2 )
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(sK56(X2,X3),cons(sK54(X2,X3),nil)),sK55(X2,X3)) = X3 )
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssList(sK56(X2,X3))
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssList(sK55(X2,X3))
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssItem(sK54(X2,X3))
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_3224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssItem(sK54(X2,X3))
| ( X3 != sK59 )
| ( X2 != sK60 )
| ( X1 != sK59 )
| ( X0 != sK60 ) ),
inference(resolution_lifted,[status(thm)],[c_252,c_380]) ).
tcf(c_3225,plain,
ssItem(sK54(sK60,sK59)),
inference(unflattening,[status(thm)],[c_3224]) ).
tcf(c_3229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssList(sK55(X2,X3))
| ( X3 != sK59 )
| ( X2 != sK60 )
| ( X1 != sK59 )
| ( X0 != sK60 ) ),
inference(resolution_lifted,[status(thm)],[c_251,c_380]) ).
tcf(c_3230,plain,
ssList(sK55(sK60,sK59)),
inference(unflattening,[status(thm)],[c_3229]) ).
tcf(c_3234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssList(sK56(X2,X3))
| ( X3 != sK59 )
| ( X2 != sK60 )
| ( X1 != sK59 )
| ( X0 != sK60 ) ),
inference(resolution_lifted,[status(thm)],[c_250,c_380]) ).
tcf(c_3235,plain,
ssList(sK56(sK60,sK59)),
inference(unflattening,[status(thm)],[c_3234]) ).
tcf(c_3239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(sK56(X2,X3),cons(sK54(X2,X3),nil)),sK55(X2,X3)) = X3 )
| ( X3 != sK59 )
| ( X2 != sK60 )
| ( X1 != sK59 )
| ( X0 != sK60 ) ),
inference(resolution_lifted,[status(thm)],[c_249,c_380]) ).
tcf(c_3240,plain,
app(app(sK56(sK60,sK59),cons(sK54(sK60,sK59),nil)),sK55(sK60,sK59)) = sK59,
inference(unflattening,[status(thm)],[c_3239]) ).
tcf(c_3244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(sK55(X2,X3),cons(sK54(X2,X3),nil)),sK56(X2,X3)) = X2 )
| ( X3 != sK59 )
| ( X2 != sK60 )
| ( X1 != sK59 )
| ( X0 != sK60 ) ),
inference(resolution_lifted,[status(thm)],[c_248,c_380]) ).
tcf(c_3245,plain,
app(app(sK55(sK60,sK59),cons(sK54(sK60,sK59),nil)),sK56(sK60,sK59)) = sK60,
inference(unflattening,[status(thm)],[c_3244]) ).
tcf(c_3254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ( X4 != sK59 )
| ( X3 != sK60 )
| ( app(app(X2,cons(X1,nil)),X0) != sK59 )
| ( app(app(X0,cons(X1,nil)),X2) != sK60 ) ),
inference(resolution_lifted,[status(thm)],[c_247,c_380]) ).
tcf(c_3255,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ( app(app(X2,cons(X1,nil)),X0) != sK59 )
| ( app(app(X0,cons(X1,nil)),X2) != sK60 ) ),
inference(unflattening,[status(thm)],[c_3254]) ).
tcf(c_8964,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ( app(app(X2,cons(X1,nil)),X0) != sK59 )
| ( app(app(X0,cons(X1,nil)),X2) != sK60 ) ),
inference(demodulation,[status(thm)],[c_3255]) ).
tcf(c_8965,plain,
iPr_def_15 = sK60,
inference(demodulation,[status(thm)],[c_3245,c_8959,c_8956,c_8957,c_8955,c_8958,c_8960]) ).
tcf(c_8966,plain,
iPr_def_17 = sK59,
inference(demodulation,[status(thm)],[c_3240,c_8961,c_8962]) ).
tcf(c_8967,plain,
ssList(iPr_def_14),
inference(demodulation,[status(thm)],[c_3235]) ).
tcf(c_8968,plain,
ssList(iPr_def_10),
inference(demodulation,[status(thm)],[c_3230]) ).
tcf(c_8969,plain,
ssItem(iPr_def_11),
inference(demodulation,[status(thm)],[c_3225]) ).
tcf(c_11871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ( app(app(X2,cons(X1,nil)),X0) != iPr_def_17 )
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8964,c_8965,c_8966]) ).
tcf(c_11972,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X1,iPr_def_12),X0) != iPr_def_15 )
| ( app(app(X0,cons(iPr_def_11,nil)),X1) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8957,c_11871]) ).
tcf(c_11973,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(iPr_def_11)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X1,iPr_def_12),X0) != iPr_def_15 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_11972,c_8957]) ).
tcf(c_11974,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X1,iPr_def_12),X0) != iPr_def_15 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11973,c_8969]) ).
tcf(c_11988,plain,
! [X0: $i] :
( ~ ssList(iPr_def_10)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_15 )
| ( app(app(X0,iPr_def_12),iPr_def_10) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8958,c_11974]) ).
tcf(c_11989,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_15 )
| ( app(app(X0,iPr_def_12),iPr_def_10) != iPr_def_17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11988,c_8968]) ).
tcf(c_12009,plain,
( ~ ssList(iPr_def_14)
| ( app(iPr_def_16,iPr_def_10) != iPr_def_17 )
| ( app(iPr_def_13,iPr_def_14) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8961,c_11989]) ).
tcf(c_12011,plain,
~ ssList(iPr_def_14),
inference(ground_joinability,[status(thm)],[c_12009,c_8960,c_8962]) ).
tcf(c_12012,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12011,c_8967]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC422+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.39 % Computer : n011.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Thu Sep 24 18:10:19 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 4.26/6.31 % SZS status Started for theBenchmark.p
% 4.26/6.31 % SZS status Theorem for theBenchmark.p
% 4.26/6.31
% 4.26/6.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.26/6.31
% 4.26/6.31 % ------ iProver source info
% 4.26/6.31
% 4.26/6.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.26/6.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.26/6.31 % git: non_committed_changes: false
% 4.26/6.31
% 4.26/6.31 % ------ Parsing...
% 4.26/6.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.26/6.31
% 4.26/6.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 4.26/6.31
% 4.26/6.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.26/6.31
% 4.26/6.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.26/6.31 % ------ Proving...
% 4.26/6.31 % ------ Problem Properties
% 4.26/6.31
% 4.26/6.31 %
% 4.26/6.31 % clauses 197
% 4.26/6.31 % conjectures 2
% 4.26/6.31 % EPR 57
% 4.26/6.31 % Horn 129
% 4.26/6.31 % unary 32
% 4.26/6.31 % binary 40
% 4.26/6.31 % lits 639
% 4.26/6.31 % lits eq 91
% 4.26/6.31 % fd_pure 0
% 4.26/6.31 % fd_pseudo 0
% 4.26/6.31 % fd_cond 21
% 4.26/6.31 % fd_pseudo_cond 14
% 4.26/6.31 % AC symbols 0
% 4.26/6.31
% 4.26/6.31 % ------ Schedule dynamic 5 is on
% 4.26/6.31
% 4.26/6.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.26/6.31
% 4.26/6.31
% 4.26/6.31 % ------
% 4.26/6.31 % Current options:
% 4.26/6.31 % ------
% 4.26/6.31
% 4.26/6.31
% 4.26/6.31 %
% 4.26/6.31
% 4.26/6.31 % ------ Proving...
% 4.26/6.31 %
% 4.26/6.31
% 4.26/6.31 % SZS status Theorem for theBenchmark.p
% 4.26/6.31
% 4.26/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.26/6.31
% 4.26/6.31
%------------------------------------------------------------------------------